You are given the coordinates of a triangle and coordinates for only one of the vertices of its image under a translation. Expla

Question

aliina [53]

2 years ago

4

You are given the coordinates of a triangle and coordinates for only one of the vertices of its image under a translation. Expla

in how to translate the entire triangle

Mathematics

2 answers:

monitta · Answer 1 · 2023-09-15T12:16:13+03:00

For the known image point, subtract the coordinates of the corresponding original point. To find the other image points, add that difference to each of the corresponding original points.

Given A and A', compute D = A' - A. The you have
B' = B + D
C' = C + D

_____
Perform the arithmetic on corresponding coordinates. (dx, dy) = (ax' - ax, ay' - ay)

olasank [31] · Answer 2 · 2023-09-15T14:26:13+03:00

Translations move every point on a figure the same distance and direction. You can use the one vertex and its image to find the rule that maps the triangle to its image. This rule can then be used to find the images of the other vertices of the triangle. Plot the vertices and connect them to form the image of the triangle.